00-139 Pablo Amster, Maria Cristina Mariani

Periodic solutions of the forced pendulum equation with friction (16K, TeX) Mar 31, 00

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Abstract. This paper is devoted to the study of the general forced pendulum equation in the presence of friction, $$u'' + a(t)u' + b(t) \sin u = f(t)$$ with $a,b\in C([0,T])$ and $f\in L^2(0,T)$. We'll show that $T$-periodic solutions may be obtained as zeroes of a $2\pi$-periodic continuous real function. Furthermore, the existence of infinitely many solution s is proved under appropiate conditions on $a,b$ and $f$.

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